Solve 51/3div22/3

$$5 \frac { 1 } { 3 } \div 2 \frac { 2 } { 3 }$$

Evaluate

$$2$$

Solution Steps

Divide \frac{5\times 3+1}{3} by \frac{2\times 3+2}{3} by multiplying \frac{5\times 3+1}{3} by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{\left(5\times 3+1\right)\times 3}{3\left(2\times 3+2\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1+3\times 5}{2+2\times 3}$$

Multiply 3 and 5 to get 15.

$$\frac{1+15}{2+2\times 3}$$

Add 1 and 15 to get 16.

$$\frac{16}{2+2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{16}{2+6}$$

Add 2 and 6 to get 8.

$$\frac{16}{8}$$

Divide 16 by 8 to get 2.

$$2$$

Factor

$$2$$